Az Eszterházy Károly Tanárképző Főiskola Tudományos Közleményei. 1993. Sectio Mathematicae. (Acta Academiae Paedagogicae Agriensis : Nova series ; Tom. 21)

A. Grytczuk and J. Kacierzynski: On Factorization in real quadratic number fields

f4 VI f<0 =-1 and r-<n P J UJ =-1 and I 1 J UJ so contrary to (3.4). The proof is complete. From our Theorem we get the following Corollary. Let K = Q^Jd), d > 0. If R

k of K is the ring with uniquenes of factorization then d eL

d = {d:d = p,2q or qr

, q = r = 3(mod4), p.qj are primes}. REFERENCES [1] C. S. Herz, Constniction of class ßelds in: Seminar on Complex Multiplication Lectures Notes in Math. Springer-Verlag 21,1966. Institute of Mathematics Departament of Algebra and Number Theory Pedagogical University of Zielona Góra Zielona Góra, Poland 90